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# Problem solving activities

## Nine tiles

• Problem solving activities
• Number and Algebra
• Level Six

Guess and check the solution to a number problem;

Explain the effect of "carry-overs" in addition problems.

## How many numbers?

• Problem solving activities
• Number and Algebra
• Level Six

Devise and use problem solving strategies to explore situations mathematically (be systematic, make a list).

## All the ones

• Problem solving activities
• Number and Algebra
• Level Six

Use a calculator efficiently

Devise a strategy to solve a number problem involving remainders.

Devise and use problem solving strategies to explore situations mathematically (be systematic)

• Problem solving activities
• Number and Algebra
• Level Six
Use the numbers facts with digits to solve a problem
Devise and use problem solving strategies to explore situations mathematically (guess and check, be systematic, look for patterns, think, use algebra).

## Working backwards

• Problem solving activities
• Number and Algebra
• Level Five
Use their mathematical knowledge to invent problems
Devise and use problem solving strategies to explore situations mathematically.

## My son is naughty

• Problem solving activities
• Number and Algebra
• Level Five
Find factors of numbers
Work systematically
Use logic to explain away certain possible number combinations.

## The magic squares

• Problem solving activities
• Number and Algebra
• Level Five
Use algebra as required
Construct magic squares

## Doubling up

• Problem solving activities
• Number and Algebra
• Level Five
Perform calculations with powers of numbers and square roots
Explain the relation between a square root and a square.
Devise and use problem solving strategies to explore situations mathematically. This problem uses be systematic, draw a picture, and think.

## Spheres

• Problem solving activities
• Number and Algebra
• Level Five
use powers and take square and cube roots (with or without a calculator)
devise and use problem solving strategies to explore situations mathematically (be systematic, draw a diagram, use smaller cases).

## Time problems

• Problem solving activities
• Number and Algebra
• Level Five
Understand how positive and negative numbers can be used in an unusual practical problem.
Devise and use problem solving strategies to explore situations mathematically (guess and check, be systematic, look for patterns, draw a diagram, make a table, use algebra).